Multiresolution Analysis with Non-Nested Spaces

Georges-Pierre Bonneau 1
1 iMAGIS - Models, Algorithms and Geometry for Computer Generated Image Graphics
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes
Abstract : Two multiresolution analyses (MRA) intended to be used in scientiic visualization, and that are both based on a non-nested set of approximating spaces, are presented. The notion of approximated r eenement is introduced to deal with non nested spaces. The rst MRA scheme, referred to as BLaC (Blending of Linear and Constant) wavelets is based on a one parameter family of wavelet bases that realizes a blend between the Haar and the linear wavelet bases. The approximated reenement is applied in the last part to build a second MRA scheme for data deened on an arbitrary planar triangular mesh.
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Georges-Pierre Bonneau. Multiresolution Analysis with Non-Nested Spaces. Dagstuhl seminar on Visualization, 1996, Dagstuhl, Germany. pp.51-66. ⟨hal-01708577⟩

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